Probabilistic Analysis of Shear Resistance due to Concrete Tension

The aim of the work was to assess the safety margin of reinforced rectangular concrete cross-sections subjected to shear. In the performed analyses models of shear resistance based on concrete tension strength was taken into account. Assessment was performed with use of Monte Carlo method. Utilized models of shear resistance were taken from formerly used Polish standards: PN-84/B-03264, PN-B-03264:2002 and the European standard EN-1992-1-1:2004. From the same standard necessary assumptions related with the models were taken. The safety margin and influence of the differences in assumptions on the obtained results were analyzed. The selected models was also evaluated in terms of their “sensitivity” to changes of basic parameters of distribution functions of selected random variables. Results showed that average shear resistance differs about 3 times depending of assumed model of the shear resistance and the reliability level, measured with the partial reliability exponent ΔR, differs 4-7 times.